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TRS Standard pair #487070952
details
property
value
status
complete
benchmark
Ex9_BLR02_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n175.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
5.42003 seconds
cpu usage
19.968
user time
16.7943
system time
3.17367
max virtual memory
6115848.0
max residence set size
125180.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: filter(cons(X,Y),0(),M) -> cons(0(),n__filter(activate(Y),M,M)) filter(cons(X,Y),s(N),M) -> cons(X,n__filter(activate(Y),N,M)) sieve(cons(0(),Y)) -> cons(0(),n__sieve(activate(Y))) sieve(cons(s(N),Y)) -> cons(s(N),n__sieve(n__filter(activate(Y),N,N))) nats(N) -> cons(N,n__nats(n__s(N))) zprimes() -> sieve(nats(s(s(0())))) filter(X1,X2,X3) -> n__filter(X1,X2,X3) sieve(X) -> n__sieve(X) nats(X) -> n__nats(X) s(X) -> n__s(X) activate(n__filter(X1,X2,X3)) -> filter(activate(X1),activate(X2),activate(X3)) activate(n__sieve(X)) -> sieve(activate(X)) activate(n__nats(X)) -> nats(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(X) -> X Proof: DP Processor: DPs: filter#(cons(X,Y),0(),M) -> activate#(Y) filter#(cons(X,Y),s(N),M) -> activate#(Y) sieve#(cons(0(),Y)) -> activate#(Y) sieve#(cons(s(N),Y)) -> activate#(Y) zprimes#() -> s#(0()) zprimes#() -> s#(s(0())) zprimes#() -> nats#(s(s(0()))) zprimes#() -> sieve#(nats(s(s(0())))) activate#(n__filter(X1,X2,X3)) -> activate#(X3) activate#(n__filter(X1,X2,X3)) -> activate#(X2) activate#(n__filter(X1,X2,X3)) -> activate#(X1) activate#(n__filter(X1,X2,X3)) -> filter#(activate(X1),activate(X2),activate(X3)) activate#(n__sieve(X)) -> activate#(X) activate#(n__sieve(X)) -> sieve#(activate(X)) activate#(n__nats(X)) -> activate#(X) activate#(n__nats(X)) -> nats#(activate(X)) activate#(n__s(X)) -> activate#(X) activate#(n__s(X)) -> s#(activate(X)) TRS: filter(cons(X,Y),0(),M) -> cons(0(),n__filter(activate(Y),M,M)) filter(cons(X,Y),s(N),M) -> cons(X,n__filter(activate(Y),N,M)) sieve(cons(0(),Y)) -> cons(0(),n__sieve(activate(Y))) sieve(cons(s(N),Y)) -> cons(s(N),n__sieve(n__filter(activate(Y),N,N))) nats(N) -> cons(N,n__nats(n__s(N))) zprimes() -> sieve(nats(s(s(0())))) filter(X1,X2,X3) -> n__filter(X1,X2,X3) sieve(X) -> n__sieve(X) nats(X) -> n__nats(X) s(X) -> n__s(X) activate(n__filter(X1,X2,X3)) -> filter(activate(X1),activate(X2),activate(X3)) activate(n__sieve(X)) -> sieve(activate(X)) activate(n__nats(X)) -> nats(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(X) -> X TDG Processor: DPs: filter#(cons(X,Y),0(),M) -> activate#(Y) filter#(cons(X,Y),s(N),M) -> activate#(Y) sieve#(cons(0(),Y)) -> activate#(Y) sieve#(cons(s(N),Y)) -> activate#(Y) zprimes#() -> s#(0()) zprimes#() -> s#(s(0())) zprimes#() -> nats#(s(s(0()))) zprimes#() -> sieve#(nats(s(s(0())))) activate#(n__filter(X1,X2,X3)) -> activate#(X3) activate#(n__filter(X1,X2,X3)) -> activate#(X2) activate#(n__filter(X1,X2,X3)) -> activate#(X1) activate#(n__filter(X1,X2,X3)) -> filter#(activate(X1),activate(X2),activate(X3)) activate#(n__sieve(X)) -> activate#(X) activate#(n__sieve(X)) -> sieve#(activate(X)) activate#(n__nats(X)) -> activate#(X) activate#(n__nats(X)) -> nats#(activate(X)) activate#(n__s(X)) -> activate#(X) activate#(n__s(X)) -> s#(activate(X)) TRS: filter(cons(X,Y),0(),M) -> cons(0(),n__filter(activate(Y),M,M)) filter(cons(X,Y),s(N),M) -> cons(X,n__filter(activate(Y),N,M)) sieve(cons(0(),Y)) -> cons(0(),n__sieve(activate(Y))) sieve(cons(s(N),Y)) -> cons(s(N),n__sieve(n__filter(activate(Y),N,N))) nats(N) -> cons(N,n__nats(n__s(N))) zprimes() -> sieve(nats(s(s(0())))) filter(X1,X2,X3) -> n__filter(X1,X2,X3) sieve(X) -> n__sieve(X) nats(X) -> n__nats(X) s(X) -> n__s(X) activate(n__filter(X1,X2,X3)) -> filter(activate(X1),activate(X2),activate(X3)) activate(n__sieve(X)) -> sieve(activate(X)) activate(n__nats(X)) -> nats(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(X) -> X graph: zprimes#() -> sieve#(nats(s(s(0())))) -> sieve#(cons(s(N),Y)) -> activate#(Y) zprimes#() -> sieve#(nats(s(s(0())))) -> sieve#(cons(0(),Y)) -> activate#(Y) sieve#(cons(s(N),Y)) -> activate#(Y) -> activate#(n__s(X)) -> s#(activate(X)) sieve#(cons(s(N),Y)) -> activate#(Y) ->
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